I want to simulate a sample traffic network. The model consists of nodes which serve as Junctions and links which represent road segments connecting two junctions. The simplified equation for each link is this:
xz(k+1) = x(k) + T[q(k) - u(k)]
where xz is the number of vehicles within the links, and q models the inflow and u the outflow.
Now if one wants to model a network, one has some incoming links to the network(see the attached link fig.4 and links {1,2,8,10,...}).
What should we do with these incoming links? Should we assume a fixed q or a fixed x for them? Or should we do something else?
http://www.sciencedirect.com/science/article/pii/S0968090X0800082X
Dear Aboozar,
I suggest to you links and attached files in topics, i hope that information can be help you to solve your problem.
- Traffic networks (Kai Nagel)
pongor.itk.ppke.hu/~pongor/biophys.../Network.../CH011.pdf
- Recent Advances in Nonlinear Dynamics and Synchronization: Theory ...
https://books.google.dz/books?isbn=3642042279
Best regards
Thanks Mr. Lafifi
I found in section 5.1 Node Models for Motorway Intersections from "The Link Transmission Model fro Dynamic Network Loading Thesis.pdf", the assumption that incoming flows should be predetermined for a given node. That is pretty much equivalent of what I had in mind which was to assume fixed flows. Am I right?
PS: The first link you provided to me is not working, I mean this one:
pongor.itk.ppke.hu/~pongor/biophys.../Network.../CH011.pdf
This is an incomplete address because of the ...'s in the link. If it is possible, please send me the working address.
Regards
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